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20012022
most citedNoether symmetry in the higher order gravity theory

55 citations

37 papers

gr-qc2022★ 4 cited

Probing symmetric teleparallel gravity in the early universe

Avik De, Dalia Saha, Ganesh Subramaniam +1

General theory of relativity can be equivalently formulated on a flat space-time associating a torsion-free affine connection of non-vanishing non-metricity scalar . In this pap…

gr-qc2022★ 7 cited

The issue of Branched Hamiltonian in F(T) Teleparallel Gravity

Manas Chakrabortty, Kaushik Sarkar, Abhik Kumar Sanyal

As in the case of Lanczos-Lovelock gravity, the main advantage of F(T) gravity is said to be that it leads to second order field equations, while F(R) gravity theory leads to fourt…

gr-qc2021★ 39 cited

Bianchi Type-II Cosmological Model with Viscous Fluid

A. Banerjee, S. B. Duttachoudhury, Abhik Kumar Sanyal

A spatially homogeneous and locally rotationally symmetric Bianchi type-II cosmological model under the influence of both shear and bulk viscosity has been studied. Exact solutions…

gr-qc2021

New conserved tensors and Brans-Dicke type field equation, using integrability condition

Abhik Kumar Sanyal, Bijan Modak, Manas Chakrabortty

We explore some new off-shell and on-shell conserved quantities for a scalar field in Minkowski space, using integrability condition. The off-shell conserved tensors are related to…

hep-th2020★ 8 cited

Probing the early universe with a generalized action

Ranajit Mandal, Dalia Saha, Mohosin Alam +1

Possibly, the most general action in the background of isotropic and homogeneous space-time has been considered to study the quantum evolution of the early universe, apart from a c…

gr-qc2019★ 2 cited

Some aspects of modified theory of gravity in Palatini formalism unveiled

Manas Chakrabortty, Nayem Sk, Abhik Kumar Sanyal

Under conformal transformation, f(R) theory of gravity in Palatini formalism leads to a Brans-Dicke type of scalar-tensor equivalent theory with a wrong sign in the effective kinet…

gr-qc2018★ 12 cited

Degenerate Hamiltonian operator in higher-order canonical gravity -- the problem and a remedy

Abhik Kumar Sanyal

Different routes towards the canonical formulation of a classical theory result in different canonically equivalent Hamiltonians, while their quantum counterparts are related throu…

hep-th2018★ 21 cited

Early Universe with modified scalar-tensor theory of gravity

Ranajit Mandal, Chandramouli Sarkar, Abhik Kumar Sanyal

Scalar-tensor theory of gravity with non-minimal coupling is a fairly good candidate for dark energy, required to explain late-time cosmic evolution. Here we study the very early s…

gr-qc2017★ 10 cited

Equivalent and inequivalent canonical structures of higher order theories of gravity

Ranajit Mandal, Abhik Kumar Sanyal

Canonical formulation of higher order theory of gravity can only be accomplished associating additional degrees of freedom, which are extrinsic curvature tensor. Consequently, to m…

gr-qc2017★ 1 cited

Thermodynamics of irreversible particle creation phenomena and its cosmological consequence

Abhik Kumar Sanyal, Subhra Debnath

The study of particle creation phenomena at the expense of the gravitational field is of great research interest. It might solve the cosmological puzzle single-handedly, without th…

gr-qc2017★ 12 cited

On the equivalence between different canonical forms of F(R) theory of gravity

Nayem Sk., Abhik Kumar Sanyal

Classical equivalence between Jordan's and Einstein's frame counterparts of F(R) theory of gravity has recently been questioned, since the two produce different Noether symmetries,…

gr-qc2016★ 15 cited

Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity

Behzad Tajahmad, Abhik Kumar Sanyal

Unlike Noether symmetry, a metric independent general conserved current exits for non-minimally coupled scalar-tensor theory of gravity, if the trace of the energy momentum tensor…

gr-qc2016★ 18 cited

Why scalar-tensor equivalent theories are not physically equivalent?

Nayem Sk., Abhik Kumar Sanyal

Whether Jordan's and Einstein's frame descriptions of F(R) theory of gravity are physically equivalent, is a long standing debate. However, practically none questioned on true math…

gr-qc2016★ 11 cited

History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term

Subhra Debnath, Soumendra Nath Ruz, Ranajit Mandal +1

Gauss-Bonnet-dilatonic coupling in four dimension plays an important role to explain late time cosmic evolution. However, this term is an outcome of low energy string effective act…

gr-qc2015★ 5 cited

Validating variational principle for higher order theory of gravity

Soumendranath Ruz, Kaushik Sarkar, Nayem Sk +1

Metric variation of higher order theory of gravity requires to fix the Ricci scalar in addition to the metric tensor at the boundary. Fixing Ricci scalar at the boundary implies th…

hep-th2014★ 16 cited

Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity

Soumendranath Ruz, Ranajit Mandal, Subhra Debnath +1

The Hamiltonian constraint Hc = NH = 0, defines a diffeomorphic structure on spatial manifolds by the lapse function N in general theory of relativity. However, it is not manifest…

gr-qc2013★ 9 cited

Field independent cosmic evolution

Nayem Sk., Abhik Kumar Sanyal

It has been shown earlier that Noether symmetry does not admit a form of F(R) corresponding to an action in which F(R) is coupled to scalar-tensor action for gravity or even for pu…

gr-qc2013★ 11 cited

Euclidean wormholes with minimally coupled scalar fields

Soumendranath Ruz, Subhra Debnath, Abhik Kumar Sanyal +1

A detailed study of quantum and semiclassical Euclidean wormholes for Einstein's theory with a minimally coupled scalar field has been performed for a class of potentials. Massless…

astro-ph.CO2012★ 18 cited

Revisiting Noether gauge symmetry for F(R) theory of gravity

Nayem Sk., Abhik Kumar Sanyal

Noether gauge symmetry for F(R) theory of gravity has been explored recently. The fallacy is that, even after setting gauge to vanish, the form of F(R) \propto R^n (where n \neq 1,…

astro-ph.CO2012★ 25 cited

Viability of Noether symmetry of F(R) theory of gravity

Kaushik Sarkar, Nayem Sk., Subhra Debnath +1

Canonization of F(R) theory of gravity to explore Noether symmetry is performed treating R - 6(\frac{\ddot a}{a} + \frac{\dot a^2}{a^2} + \frac{k}{a^2}) = 0 as a constraint of the…

astro-ph.CO2012★ 17 cited

Why Noether symmetry of F(R) theory yields three-half power law?

Kaushik Sarkar, Nayem Sk., Soumendranath Ruz +2

Noether symmetry of F(R) theory of gravity in vacuum or in matter dominated era yields three-half power law of R. We show that this particular curvature invariant term is very spec…

gr-qc2011★ 24 cited

Canonical formulation of curvature squared action in the presence of lapse function

Abhik Kumar Sanyal, Subhra Debnath, Soumendranath Ruz

Lapse function appears as Lagrange multiplier in Einstein-Hilbert action and its variation leads to the (0 0) equation of Einstein, which corresponds to the Hamiltonian constraint…

astro-ph.CO2011★ 26 cited

Noether symmetry for Gauss-Bonnet dilatonic gravity

Abhik Kumar Sanyal, Claudio Rubano, Ester Piedipalumbo

Noether symmetry for Gauss-Bonnet-Dilatonic interaction exists for a constant dilatonic scalar potential and a linear functional dependence of the coupling parameter on the scalar…

astro-ph.CO2010★ 18 cited

Can particle creation phenomena replace dark energy?

Subhra Debnath, Abhik Kumar Sanyal

Particle creation at the expense of gravitational field might be sufficient to explain the cosmic evolution history, without the need of dark energy at all. This phenomena has been…